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Numerical effects are discussed and quantified.
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Mesh covering both solid and fluid domain allowed free gate movement and Method to assess local velocities and pressures for both gate types. Two-dimensional numerical simulations were performed with the Finite Element
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ThisĪttenuation was most profound in the high stiffness region at 2 < Vr < 3.5. Leakage flow through the holes significantly reduced vibrations.
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Reduced velocity range 1.5 < Vr < 10.5 for a gate with and without holes.
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Small gate openings the vertical dynamic support force was measured in the Gate to enter the area directly under the gate which is known to play a key Holes in the gate bottom enabled leakage flow through the Rectangular gate section placed in a flume was given freedom to vibrate in the Ways to reduce cross-flow vibrations of hydraulic gates with underflow. For vibration frequencies close to the vertical natural frequency fy, however, the dominant vertical vibrations occur for 2 < vry < 4.Īn experimental study is combined with numerical modelling to investigate new The maximum amplitude of the horizontal vibrations was observed to be close to the out-of-plane natural frequency, when 3♵ 10. Results also indicated that the amplitudes of the horizontal vibrations in the authors' previous analyses were considerably greater than those of single-way horizontal vibrations. If both the horizontal and vertical vibrations are mutually considered, the two-dimensional reduced velocities vrx and vry and the structural natural frequencies fx and fy become relatively different compared to these of single-way vibrations. Whereas the maximum horizontal vibrations are associated with the uppermost values of the reduced velocities, for example vr > 3♵, as well as the gate's normalised opening height δ/d of about 0♸, the maximum vertical vibrations are attained for intermediate values of vr, at about 3, and δ/d = 0♸. Results indicated that, if the edge of the gate is bevelled at an angle of 45°, the lowest amplitudes of horizontal vibrations are obtained. Primarily, the vibration of the gate was restricted to a single direction, detaching the horizontal and vertical vibrations of the gate so as to exclude their interaction. The present study focuses on out-of-plane and in-plane vibrations of sluice gates due to the fluid–structure interaction based on numerical modelling, using the finite-element method. The results proved that the parameter identification method may have potential application to improve the accuracy of calculating the discharge under the radial gates, and can also be applied to the sluice gates. The results showed that the mean relative errors of the four formulas were 18.99%, 34.26%, 24.10% and 21.11%, respectively while the mean relative errors were reduced to 3.54%, 3.54%, 1.90% and 1.09% by the use of parameter identification technique, respectively, indicating that the accuracy was greatly improved. Followed by that, these discharge formulas of radial gates were applied through a case study. By investigating three discharge formulas derived from the energy equation and one discharge formula derived from dimensionless analysis of radial gates, the new parameter identification models for these discharge formulas were established using the least squares method, and the coefficients of discharge formulas were obtained. Calibrating the coefficients of discharge formulas of gates has great significance for the simulation and control of water flow.